Voir la notice de l'article provenant de la source Math-Net.Ru
@article{MM_2018_30_9_a3, author = {A. G. Aksenov and V. F. Tishkin and V. M. Chechetkin}, title = {Godunov type method and the {Shafranov's} task for multi-temperature plasma}, journal = {Matemati\v{c}eskoe modelirovanie}, pages = {51--71}, publisher = {mathdoc}, volume = {30}, number = {9}, year = {2018}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MM_2018_30_9_a3/} }
TY - JOUR AU - A. G. Aksenov AU - V. F. Tishkin AU - V. M. Chechetkin TI - Godunov type method and the Shafranov's task for multi-temperature plasma JO - Matematičeskoe modelirovanie PY - 2018 SP - 51 EP - 71 VL - 30 IS - 9 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MM_2018_30_9_a3/ LA - ru ID - MM_2018_30_9_a3 ER -
A. G. Aksenov; V. F. Tishkin; V. M. Chechetkin. Godunov type method and the Shafranov's task for multi-temperature plasma. Matematičeskoe modelirovanie, Tome 30 (2018) no. 9, pp. 51-71. http://geodesic.mathdoc.fr/item/MM_2018_30_9_a3/
[1] S.K. Godunov, “A Difference Scheme for the shock wave calculations”, Usp. Mat. Nauk, 12:1(73) (1957), 176–177
[2] G.V. Vereshchagin, A. G. Aksenov, Relativistic Kinetic Theory, Cambridge University Press, 2017
[3] S.K. Godunov, “A Difference Scheme for Numerical Solution of Discontinuous Solution of Hydrodynamic Equations”, Math. Sbornik, 47(89):3 (1959), 271–306
[4] P. Colella, P. R. Woodward, “The Piecewise Parabolic Method (PPM) for Gas-Dynamical Simulations”, Journal of Computational Physics, 54 (1984), 174
[5] P.L. Roe, “Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes”, Journal of Computational Physics, 135 (1997), 250
[6] P. Colella, H. M. Glaz, “Efficient Solution Algorithms for the Riemann Problem for Real Gases”, Journal of Computational Physics, 59 (1985), 264
[7] M. M. Basko, M. D. Churazov, A. G. Aksenov, “Prospects of heavy ion fusion in cylindrical geometry”, Laser and Particle Beams, 20 (2002), 411–414
[8] S.I. Anisimov, V.V. Zhakhovskii, N.A. Inogamov, K. Nishihara, Y.V. Petrov, V. A. Khokhlov, “Ablated matter expansion and crater formation under the action of ultrashort laser pulse”, Soviet Journal of Experimental and Theoretical Physics, 103 (2006), 183–197
[9] V.E. Fortov, D.H. Hoffmann, B. Y. Sharkov, “Reviews of topical problems: Intense ion beams for generating extreme states of matter”, Physics Uspekhi, 51:2 (2008), 109–131
[10] S.W. Bruenn, “Stellar core collapse: numerical model and infall epoch”, ApJS, 58 (1985), 771
[11] M. Pelanti, K.-M. Shyue, “A mixture-energy-consistent six-equation two-phase numerical model for fluids with interfaces, cavitation and evaporation waves”, Journal of Computational Physics, 259 (2014), 331–357
[12] V.T. Zhukov, A.V. Zabrodin, O. B. Feodoritova, “A method for solving two-dimensional equations of heat-conducting gas dynamics in domains of complex configurations”, J. Comp. Math. and Math. Physics, 33:8 (1993), 1099–1108
[13] G.H. Miller, E. G. Puckett, “A high-order Godunov method for multiple condensed phases”, Journal of Computational Physics, 128 (1996), 134–164
[14] A. G. Aksenov, M. D. Churazov, “Ignition problems for advanced fuel”, Nuclear Instruments and Methods in Physics Research, A 464 (2001), 180–184
[15] A. G. Aksenov, M. D. Churazov, “Deuterium targets and the MDMT code”, Laser and Particle Beams, 21:1 (2003), 81–84
[16] A. G. Aksenov, M. D. Churazov, A. A. Golubev, D. G. Koshkarev, E. A. Zabrodina, “Cylindrical targets for heavy ions fusion”, Nuclear Instruments and Methods in Physics Research, A 544 (2005), 412
[17] V.M. Chechetkin, A.G. Aksenov, “Supernova-Explosion Mechanism Involving Neutrinos”, Nucl. Phys., 81:1 (2018)
[18] V. D. Shafranov, “A structure of the shock wave in the plasma”, JEIP, 5 (1957), 1183
[19] A.G. Aksenov, “Computation of shock waves in plasma”, Computational Mathematics and Mathematical Physics, 55 (2015), 1752
[20] M.M. Basko, “Metallic equation of state in the maen ion approximation”, Sov. J. Plasma Phys., 10 (1984), 689–694
[21] C. W. Gear, Numerical initial value problems in ordinary differential equations, Prentice Hall, Inc., Englewood Cliffs, New Jersey, 1971